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Finding the Fourth Proportional to 417.60, 626.51 and 212.28

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Solution

The fourth proportional to 417.60, 626.51 and 212.28 is: 318.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.60 : 626.51 = 212.28 : x
  2. Step 2: Convert to fraction form
    417.60/626.51 = 212.28/x
  3. Step 3: Cross multiply
    417.60x = 626.51 × 212.28
  4. Step 4: Simplify right side
    417.60x = 132,994.48
  5. Step 5: Solve for x
    x = 132,994.48/417.60
  6. Step 6: Final answer
    x = 318.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.